Trigonometria Esempi

\frac{3}{10} \cdot (- 3 e^{- 3 \cdot 0.2} + sin (0.2) + 3 cos (0.2))

$\frac{3}{10} \cdot (- 3 e^{- 3 \cdot 0.2} + \sin (0.2) + 3 \cos (0.2))$

Passaggio 1

Semplifica ciascun termine.

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Passaggio 1.1

Moltiplica

- 3

$- 3$ per

0.2

$0.2$ .

\frac{3}{10} \cdot (- 3 e^{- 0.6} + sin (0.2) + 3 cos (0.2))

$\frac{3}{10} \cdot (- 3 e^{- 0.6} + \sin (0.2) + 3 \cos (0.2))$

Passaggio 1.2

Riscrivi l'espressione usando la regola dell'esponente negativo

b^{- n} = \frac{1}{b^{n}}

$b^{- n} = \frac{1}{b^{n}}$ .

\frac{3}{10} \cdot (- 3 \frac{1}{e^{0.6}} + sin (0.2) + 3 cos (0.2))

$\frac{3}{10} \cdot (- 3 \frac{1}{e^{0.6}} + \sin (0.2) + 3 \cos (0.2))$

Passaggio 1.3

- 3

$- 3$ e

\frac{1}{e^{0.6}}

$\frac{1}{e^{0.6}}$ .

\frac{3}{10} \cdot (\frac{- 3}{e^{0.6}} + sin (0.2) + 3 cos (0.2))

$\frac{3}{10} \cdot (\frac{- 3}{e^{0.6}} + \sin (0.2) + 3 \cos (0.2))$

Passaggio 1.4

Sposta il negativo davanti alla frazione.

\frac{3}{10} \cdot (- \frac{3}{e^{0.6}} + sin (0.2) + 3 cos (0.2))

$\frac{3}{10} \cdot (- \frac{3}{e^{0.6}} + \sin (0.2) + 3 \cos (0.2))$

\frac{3}{10} \cdot (- \frac{3}{e^{0.6}} + sin (0.2) + 3 cos (0.2))

$\frac{3}{10} \cdot (- \frac{3}{e^{0.6}} + \sin (0.2) + 3 \cos (0.2))$

Passaggio 2

Applica la proprietà distributiva.

\frac{3}{10} (- \frac{3}{e^{0.6}}) + \frac{3}{10} sin (0.2) + \frac{3}{10} (3 cos (0.2))

$\frac{3}{10} (- \frac{3}{e^{0.6}}) + \frac{3}{10} \sin (0.2) + \frac{3}{10} (3 \cos (0.2))$

Passaggio 3

Semplifica.

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Passaggio 3.1

Moltiplica

\frac{3}{10} (- \frac{3}{e^{0.6}})

$\frac{3}{10} (- \frac{3}{e^{0.6}})$ .

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Passaggio 3.1.1

Moltiplica

\frac{3}{10}

$\frac{3}{10}$ per

\frac{3}{e^{0.6}}

$\frac{3}{e^{0.6}}$ .

- \frac{3 \cdot 3}{10 e^{0.6}} + \frac{3}{10} sin (0.2) + \frac{3}{10} (3 cos (0.2))

$- \frac{3 \cdot 3}{10 e^{0.6}} + \frac{3}{10} \sin (0.2) + \frac{3}{10} (3 \cos (0.2))$

Passaggio 3.1.2

Moltiplica

3

$3$ per

3

$3$ .

- \frac{9}{10 e^{0.6}} + \frac{3}{10} sin (0.2) + \frac{3}{10} (3 cos (0.2))

$- \frac{9}{10 e^{0.6}} + \frac{3}{10} \sin (0.2) + \frac{3}{10} (3 \cos (0.2))$

- \frac{9}{10 e^{0.6}} + \frac{3}{10} sin (0.2) + \frac{3}{10} (3 cos (0.2))

$- \frac{9}{10 e^{0.6}} + \frac{3}{10} \sin (0.2) + \frac{3}{10} (3 \cos (0.2))$

Passaggio 3.2

\frac{3}{10}

$\frac{3}{10}$ e

sin (0.2)

$\sin (0.2)$ .

- \frac{9}{10 e^{0.6}} + \frac{3 sin (0.2)}{10} + \frac{3}{10} (3 cos (0.2))

$- \frac{9}{10 e^{0.6}} + \frac{3 \sin (0.2)}{10} + \frac{3}{10} (3 \cos (0.2))$

Passaggio 3.3

Moltiplica

\frac{3}{10} (3 cos (0.2))

$\frac{3}{10} (3 \cos (0.2))$ .

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Passaggio 3.3.1

3

$3$ e

\frac{3}{10}

$\frac{3}{10}$ .

- \frac{9}{10 e^{0.6}} + \frac{3 sin (0.2)}{10} + \frac{3 \cdot 3}{10} cos (0.2)

$- \frac{9}{10 e^{0.6}} + \frac{3 \sin (0.2)}{10} + \frac{3 \cdot 3}{10} \cos (0.2)$

Passaggio 3.3.2

Moltiplica

3

$3$ per

3

$3$ .

- \frac{9}{10 e^{0.6}} + \frac{3 sin (0.2)}{10} + \frac{9}{10} cos (0.2)

$- \frac{9}{10 e^{0.6}} + \frac{3 \sin (0.2)}{10} + \frac{9}{10} \cos (0.2)$

Passaggio 3.3.3

\frac{9}{10}

$\frac{9}{10}$ e

cos (0.2)

$\cos (0.2)$ .

- \frac{9}{10 e^{0.6}} + \frac{3 sin (0.2)}{10} + \frac{9 cos (0.2)}{10}

$- \frac{9}{10 e^{0.6}} + \frac{3 \sin (0.2)}{10} + \frac{9 \cos (0.2)}{10}$

- \frac{9}{10 e^{0.6}} + \frac{3 sin (0.2)}{10} + \frac{9 cos (0.2)}{10}

$- \frac{9}{10 e^{0.6}} + \frac{3 \sin (0.2)}{10} + \frac{9 \cos (0.2)}{10}$

- \frac{9}{10 e^{0.6}} + \frac{3 sin (0.2)}{10} + \frac{9 cos (0.2)}{10}

$- \frac{9}{10 e^{0.6}} + \frac{3 \sin (0.2)}{10} + \frac{9 \cos (0.2)}{10}$

Passaggio 4

Semplifica ciascun termine.

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Passaggio 4.1

Calcola

sin (0.2)

$\sin (0.2)$ .

$- \frac{9}{10 e^{0.6}} + \frac{3 \cdot 0.19866933}{10} + \frac{9 \cos (0.2)}{10}$

Passaggio 4.2

Moltiplica

$3$ per

$0.19866933$ .

$- \frac{9}{10 e^{0.6}} + \frac{0.59600799}{10} + \frac{9 \cos (0.2)}{10}$

Passaggio 4.3

Dividi

$0.59600799$ per

$10$ .

$- \frac{9}{10 e^{0.6}} + 0.05960079 + \frac{9 \cos (0.2)}{10}$

Passaggio 4.4

Calcola

$\cos (0.2)$ .

$- \frac{9}{10 e^{0.6}} + 0.05960079 + \frac{9 \cdot 0.98006657}{10}$

Passaggio 4.5

Moltiplica

$9$ per

$0.98006657$ .

$- \frac{9}{10 e^{0.6}} + 0.05960079 + \frac{8.8205992}{10}$

Passaggio 4.6

Dividi

$8.8205992$ per

$10$ .

$- \frac{9}{10 e^{0.6}} + 0.05960079 + 0.88205992$

Passaggio 5

Semplifica aggiungendo i termini.

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Passaggio 5.1

Somma

$- \frac{9}{10 e^{0.6}}$ e

$0.05960079$ .

$- 0.43432967 + 0.88205992$

Passaggio 5.2

Somma

$- 0.43432967$ e

$0.88205992$ .

$0.44773024$